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Finding the Fourth Proportional to 170.64, 235.70 and 126.47

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Solution

The fourth proportional to 170.64, 235.70 and 126.47 is: 174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.64 : 235.70 = 126.47 : x
  2. Step 2: Convert to fraction form
    170.64/235.70 = 126.47/x
  3. Step 3: Cross multiply
    170.64x = 235.70 × 126.47
  4. Step 4: Simplify right side
    170.64x = 29,807.17
  5. Step 5: Solve for x
    x = 29,807.17/170.64
  6. Step 6: Final answer
    x = 174.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.